Complex Complex

1. Mar 18, 2010

aviravir1

if a is a complex number which satisfy $$ia^3+a^2-a+1=0$$

then find $$\left | a \right |$$ ?

one way is to put a=x+iy

any other short way ?

2. Mar 18, 2010

aviravir1

No coments ?

3. Mar 18, 2010

hamster143

4. Mar 18, 2010

aviravir1

ok the real question was find the maximum value of $$\left | a -3-4i\right |$$

now will that help in any way making the soln shorter....i guess not..but still will it?

5. Mar 18, 2010